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22100223334442 = 211139193227293563
BaseRepresentation
bin1010000011001100110111…
…11101100001100000101010
32220020202112120012021010112
411001212123331201200222
510344042224133200232
6115000411421014322
74440455064560201
oct501463375414052
986222476167115
1022100223334442
117050719a14440
12258b2080b43a2
13c440716c1ba6
145659296a6238
15284d269b64b2
hex14199bf6182a

22100223334442 has 128 divisors (see below), whose sum is σ = 36965241492480. Its totient is φ = 9826705059840.

The previous prime is 22100223334417. The next prime is 22100223334451. The reversal of 22100223334442 is 24443332200122.

It is a super-4 number, since 4×221002233344424 (a number of 54 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22100223334399 and 22100223334408.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39254392853 + ... + 39254393415.

It is an arithmetic number, because the mean of its divisors is an integer number (288790949160).

Almost surely, 222100223334442 is an apocalyptic number.

22100223334442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22100223334442 is a deficient number, since it is larger than the sum of its proper divisors (14865018158038).

22100223334442 is a wasteful number, since it uses less digits than its factorization.

22100223334442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428.

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 22100223334442 its reverse (24443332200122), we get a palindrome (46543555534564).

The spelling of 22100223334442 in words is "twenty-two trillion, one hundred billion, two hundred twenty-three million, three hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 11 22 139 193 227 278 293 386 454 563 586 1126 1529 2123 2497 3058 3223 4246 4994 6193 6446 12386 26827 31553 40727 43811 53654 56549 63106 66511 78257 81454 87622 108659 113098 127801 133022 156514 164959 217318 255602 295097 329918 347083 447997 481921 590194 622039 694166 731621 860827 895994 963842 1195249 1244078 1405811 1463242 1721654 1814549 2390498 2811622 3629098 6089729 7860311 9245029 12179458 12836623 15103601 15720622 17764339 18490058 22929301 24665593 25673246 30207202 31837087 35528678 37445693 45858602 49331186 63674174 66987019 74891386 86463421 101695319 133974038 141202853 166139611 172926842 195407729 203390638 252222311 271321523 282405706 332279222 350207957 390815458 411902623 504444622 542643046 700415914 823805246 1784290597 3428517427 3568581194 4425355093 5204951327 6857034854 7227018749 8850710186 10409902654 14454037498 19627196567 37713691697 39254393134 48678906023 57254464597 75427383394 79497206239 97357812046 114508929194 158994412478 1004555606111 2009111212222 11050111667221 22100223334442